Stability by Lyapunov like functions of nonlinear differential equations with non-instantaneous impulses

Agarwal, R.P., Hristova, S.: Strict stability in terms of two measures for impulsive differential equations with supremum. Appl. Anal. 91(7), 1379–1392 (2012)

Agarwal, R., O’Regan, D., Hristova, S.: Stability of Caputo fractional differential equations with non-instantaneous impulses. Commun. Appl. Anal. (2015)

Akhmetov, M.U., Zafer, A.: Stability of the zero solution of impulsive differential equations by the Lyapunov second method. J. Math. Anal. Appl. 248, 69–82 (2000)

Feckan, M., Wang, J.R., Zhou, Y.: Periodic solutions for nonlinear evolution equations with non-instantaneous impulses. Nonauton. Dyn. Syst. 1, 93–101 (2014)

Henderson, J., Hristova, S.: Eventual practical stability and cone valued Lyapunov functions for differential equations with maxima. Commun. Appl. Anal. 14(3), 515–526 (2010)

Hernandez, E., O’Regan, D.: On a new class of abstract impulsive differential equations. Proc. Am. Math. Soc. 141, 1641–1649 (2013)

Hristova, S.: Qualitative Investigations and Approximate Methods for Impulsive Equations. Nova Sci. Publ., Inc., New York (2009)

Hristova, S.: Stability on a cone in terms of two measures for impulsive differential equations with supremum. Appl. Math. Lett. 23(5), 508–511 (2010)

Hristova, S.G., Georgieva, A.: Practical Stability in terms of two measures for impulsive differential equations with supremum. Int. J. Differ. Equ. 2011, 13 (2011). doi: 10.1155/2011/703189

Hristova, S., Stefanova, K.: Practical stability of impulsive differential equations with supremum by integral inequalities. Eur. J. Pure Appl. Math. 5(1), 30–44 (2012)

Lakshmikantham, V., Leela, S.: Differential and Integral Inequalities, vol. I. Academic, New York (1969)

Lakshmikantham, V., Bainov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations. World Scientific, Singapore (1989)

Pandey, D.N., Das, S., Sukavanam, N.: Existence of solutions for a second order neutral differential equation with state dependent delay and not instantaneous impulses. Int. J. Nonlinear Sci. 18(2), 145–155 (2014)

Pierri, M., O’Regan, D., Rolnik, V.: Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses. Appl. Math. Comput. 219, 6743–6749 (2013)

Routes, A.E.: Drug absorption, distribution and elimination. Pharmacokinetics. http://www.columbia.edu/itc/gsas/g9600/2004/GrazianoReadings/Drugabs . Accessed 10 Oct 2015

Sood, A., Srivastava, S.K.: On stability of differential systems with noninstantaneous impulses. Math. Probl. Eng. 2015, 5 (2015). doi: 10.1155/2015/691687

Wang, J.R., Li, X.: Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses. J. Appl. Math. Comput. 46(1–2), 321–334 (2014)

Wang, J., Lin, Z.: A class of impulsive nonautonomous differential equations and Ulam–Hyers–Rassias stability. Math. Methods Appl. Sci. 38(5), 868–880 (2015)

Wang, Z., Zang, Y.: Existence and stability of solutions to nonlinear impulsive differential equations in $$\beta $$ β -normed space. Electron. J. Differ. Equ. 2014(83), 1–10 (2014)

http://coewww.rutgers.edu/classes/bme/bme305/BookChapters/Chap702Sep03 . Accessed 10 Oct 2015